Kavli Affiliate: J. S. Villasenor
| First 5 Authors: J. Fernando Barbero G., Marc Basquens, Eduardo J. S. Villaseñor, ,
| Summary:
The GNH method is used in this paper to study the Hamiltonian formulation of
the Euclidean self-dual action. This action can be used to arrive at the
complex Ashtekar formulation of General Relativity or a real connection
formulation for Euclidean General Relativity. The main result of the paper is a
derivation of the Ashtekar formulation for Euclidean gravity without using any
gauge fixing. It is interesting to compare this derivation with the one
corresponding to the Holst action. In particular it is worth noting that no
“tertiary” constraints appear in the case considered in the present paper.
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